Task 3: Chaos Theory Analysis

Dataset: FreshRetailNet-50K (Golden Sample)

Analysis Window: 8:00 - 22:00 (Daytime hours only)

Computed Metrics

1. Time Series Dynamics

2. Phase Space Reconstruction

Visualization of the attractor in 2D embedding (x(t) vs x(t+1)).

3. Nonlinear Model Phase Portrait

Phase portrait with nullclines and vector field for the nonlinear inventory model.

4. R/S Analysis (Hurst Estimation)

Log-Log plot of Rescaled Range vs Time Scale.

5. Correlation Sum (D2 Estimation)

Log-Log plot of Correlation Integral C(r) vs Radius r.

6. Dimension Saturation Analysis

D2 vs embedding dimension; saturation indicates low-dimensional dynamics.


Generated by Systems Theory Pipeline